8. 302.150 1 st significant figure Significant figures 0.005106 Significant figures 1 st significant figure

10. (1)First we place the cut-off point after the 4th significant figure: 5 2 3. 5 | 9 1 (2) The digit after the cut-off point is 5 or more, so the digit before it is increased by 1: 5 2 3. 6 | 9 1 (3) The digits after the cut-off point are removed: 5 2 3. 6 | (4) There are no gaps to fill between the cut-off point and the decimal point, so our answer is: 5 2 3. 6 (4 sf.)

11. (1)First we place the cut-off point after the 2nd significant figure: 3 4|4 1. 5 (2) The digit after the cut-off point is not 5 or more, so the digit before it is unchanged: 3 4|4 1. 5 (3) The digits after the cut-off point are removed (but not the decimal point): 3 4|_ _. _ (4) The gaps between the cut-off point and the decimal point are filled with zeroes 3 4 0 0 (2 sf.)

12. (1)First we place the cut-off point after the 2nd significant figure: 3. 6 | 4 2 (2) The digit after the cut-off point is not 5 or more, so the digit before it is unchanged: 3. 6 | 4 2 (3) The digits after the cut-off point are removed: 3. 6 | (4) There are no gaps to fill between the cut-off point and the decimal point, so our answer is: 3. 6 (2 sf.)

13. (1)First we place the cut-off point after the 1st significant figure: 0. 0 0 7 | 2 3 (2) The digit after the cut-off point is not 5 or more, so the digit before it is unchanged: 0. 0 0 7 | 2 3 (3) The digits after the cut-off point are removed: 0. 0 0 7 | (4) There are no gaps to fill between the cut-off point and the decimal point, so our answer is: 0. 0 0 7 (1 sf.)

14. (1)First we place the cut-off point after the 3rd significant figure: 3 1 4 | 7 6 9 (2) The digit after the cut-off point is 5 or more, so the digit before it is increased by 1: 3 1 5 | 7 6 9 (3) The digits after the cut-off point are removed and replaced with zero’s: 3 1 5 | 0 0 0 (4) The gaps between the cut-off point and the decimal point are filled with zeroes 3 1 5 0 0 0 (3 sf.)